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摘要: |
本文主要研究紧算子在Vlasov-Maxwell-Boltzmann方程组中的应用的问题.利用紧算子的定义,获得了描述不同质量两粒子模型的线性Boltzmann算子的一个紧性结果. |
关键词: 赋范空间 紧算子 Vlasov-Maxwell-Boltzmann方程组 Boltzmann碰撞算子 |
DOI: |
分类号:O175.4 |
基金项目:国家自然科学基金资助(11471142). |
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A PROOF OF COMPACT OPERATOR OF THE TWO SPECIES VLASOV-MAXWELL-BOLTZMANN EQUATIONS |
LI Zeng-ming,HUANG Li-rong
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Abstract: |
In this paper, we mainly investigate an application of compact operators to the Vlasov-Maxwell-Boltzmann equations. By using the definition of compact operators, we prove a compactness result of the linear Boltzmann operator of a two species model with different mass. |
Key words: normed space compact operator Vlasov-Maxwell-Boltzmann equations Boltzmann collision operator |